en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 3 of (x^3-1)

Solution

\int_{- 1}^{3} (x^{3} - 1) d x

Solution

16

Solution steps

\int_{- 1}^{3} x^{3} - 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{3} x^{3} d x - \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 1 d x = 4

= 20 - 4

Simplify

= 16

Graph

Popular Examples

integral from 0 to 2pi of 6cos^2(x)

\int_{0}^{2 π} 6 cos^{2} (x) d x

integral from 6 to 36 of 1/(x(ln(x))^8)

\int_{6}^{36} \frac{1}{x ( ln ( x ) ) ^{8}} d x

integral from 1 to e^x of 9ln(x)

\int_{1}^{e^{x}} 9 ln (x) d x

integral from 3 to 5 of 1/(sqrt(x-4))

\int_{3}^{5} \frac{1}{x - 4} d x

integral from 0 to 1 of 5x(1-x)^4

\int_{0}^{1} 5 x (1 - x)^{4} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^3-1) ?
The integral from-1 to 3 of (x^3-1) is 16